I have heard of time translational symmetry, which refers to the law of conservation of energy. Time crystals break time translational symmetry. I read on Wikipedia that it only breaks discrete-time translational symmetry and does not affect continuous-time translational symmetry. What exactly do we mean by discrete and continuous-time translational symmetries? How can we predict the motion of such crystals when there is no notion of energy conservation? Where am I going wrong?



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